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a, f(0,5)
=>f = 5 x 0,5^2-2
= 5 x 0,25-2
= 1,25 -2
= -0,75
f(-0,2)
=>f = 5 x (-0,2)^2-2
= 5 x 0,04-2
= 0,2-2
= -1,8
....................
\(f\left(x\right)=x^2-5x+6\)
a) +) \(f\left(-\frac{1}{3}\right)=\left(-\frac{1}{3}\right)^2-5.\left(-\frac{1}{3}\right)+6=\frac{70}{9}\)
+) \(f\left(\frac{1}{2}\right)=\left(\frac{1}{2}\right)^2-5.\frac{1}{2}+6=\frac{15}{4}\)
+) \(f\left(0\right)=0^2-5.0+6=6\)
+) \(f\left(1\right)=1^2-5.1+6=2\)
b) \(x^2-5x+6=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x-3=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=3\end{cases}}\)
ok
\(y=f\left(x\right)=2x^2+5x-3\)
=>\(y=f\left(1\right)=2.1^2+5.1-3=4\)
\(y=f\left(x\right)=2x^2+5x-3\)
=>\(y=f\left(0\right)=2.0^2+5.0-3=-3\)
\(y=f\left(x\right)=2x^2+5x-3\)
=>\(y=f\left(5\right)=2.5^2+5.5-3=72\)
\(1.\)
\(\left|-0,75\right|+\frac{1}{4}-2\frac{1}{2}\)
\(=0,75+\frac{1}{4}-\frac{5}{2}\)
\(=\frac{3}{4}+\frac{1}{4}-\frac{10}{4}\)
\(=\frac{4}{4}-\frac{10}{4}\)
\(=\frac{-6}{4}=\frac{-3}{2}\)
\(2.\)
\(a,3\frac{1}{2}-\frac{1}{2}x=\frac{2}{3}\)
\(\frac{7}{2}-\frac{1}{2}x=\frac{2}{3}\)
\(\frac{1}{2}x=\frac{7}{2}-\frac{2}{3}\)
\(\frac{1}{2}x=\frac{17}{6}\)
\(x=\frac{17}{6}:\frac{1}{2}\)
\(x=\frac{17}{3}\)
Vậy x = \(\frac{17}{3}\)
\(b,3,2x+\left(-1,2\right)x+2,7\)\(=-4,9\)
\(x\cdot\left[3,2++\left(-1,2\right)\right]+2,7=-4,9\)
\(x\cdot2+2,7=-4,9\)
\(x\cdot2=-4,9-2,7\)
\(x\cdot2=-7,6\)
\(x=-7,6:2\)
\(x=-3,8\)
Vậy x=-3,8
\(3.\)
\(Có:y=f\left(x\right)\)\(=2x+\frac{1}{2}\)
\(\Rightarrow f\left(0\right)=2\cdot0+\frac{1}{2}\)\(=0+\frac{1}{2}=\frac{1}{2}\)
\(\Rightarrow f\left(1\right)=2\cdot1+\frac{1}{2}=2+\frac{1}{2}=\frac{4}{2}+\frac{1}{2}=\frac{5}{2}\)
\(\Rightarrow f\left(\frac{1}{2}\right)=2\cdot\frac{1}{2}+\frac{1}{2}\)\(=\frac{2}{2}+\frac{1}{2}=\frac{3}{2}\)
\(\Rightarrow f\left(-2\right)=2\cdot\left(-2\right)+\frac{1}{2}=-4+\frac{1}{2}=\frac{-8}{2}+\frac{1}{2}=\frac{-7}{2}\)
a) f(-1) = -3 . (-1) = 3
f(5/3) = -3 . 5/3 = -5
f(0) = -3 . 0 = 0
b) Vì M(a; -1,2) ∈ đồ thị hàm số y = -3x
⇒ -1,2 = -3a
⇒ a = -1,2 : (-3) = 0,4
f(1)=5.1-1=5-1=4;f(4)=5.4-1=20-1=19;f(1,2)=5.1,2-1=6-1=5;f(0,4)=5.0,4-1=2-1=1